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17 results

1. Affine action and Margulis invariant

Author

Kim, Inkang

Subjects
*RIEMANN surfaces, *MATHEMATICAL functions, *JACOBI varieties, *PAPER
Abstract

In this paper, we show that two Zariski dense subgroups consisting of hyperbolic elements in SO(n+1,n)⋉R2n+1 with the same marked Margulis invariant, are conjugate. We also consider in affine deformations an analogue of quasifuchsian deformation of Fuchsian groups. [Copyright &y& Elsevier]

Published
2005
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2. On the convergence of certain sequences of rational approximants to meromorphic functions in several variables

Author

García, Zebenzuí

Subjects
*STOCHASTIC convergence, *MATHEMATICAL functions, *CONCENTRATION functions, *PAPER
Abstract

Abstract: In a previous paper, the author introduced a new class of multivariate rational interpolants, which are called Optimal Padé-type Approximants (OPTA). There, for this class of rational interpolants, which extends classical univariate Padé Approximants, a direct extension of the “de Montessus de Ballore''s Theorem” for meromorphic functions in several variables is established. In the univariate case, this theorem ensures uniform convergence of a row of Pade Approximants when the denominator degree equals the number of poles (counting multiplicities) in a certain disc. When one overshoots the number of poles when fixing the denominator degree, convergence in measure or capacity has been proved and, under certain additional restrictions, the uniform convergence of a subsequence of the row. The author tackles the latter case and studies its generalization to functions in several variables by using OPTA. [Copyright &y& Elsevier]

Published
2004
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3. Individual differences in cognitive processing for roughness rating of fine and coarse textures

Author

Astrid M. L. Kappers, Yoshihiro Tanaka, Makiko Natsume, AMS - Sports and Work, Sensorimotor Control, Human Technology Interaction, Control Systems Technology, and Dynamics and Control

Subjects
Male, Tribology, Glass/chemistry, Physiology, Sensory Physiology, Individuality, Social Sciences, Surface finish, Correlation, Cognition, Mathematical and Statistical Techniques, 0302 clinical medicine, Friction/physiology, Statistics, Medicine and Health Sciences, Psychology, Tactile Sensation, Materials, Cognition/physiology, Mathematics, Skin, 0303 health sciences, Multidisciplinary, Physics, Classical Mechanics, Sensory Systems, Curve Fitting, Touch Perception, Somatosensory System, Physical Sciences, Curve fitting, Engineering and Technology, Medicine, Sensory Perception, Female, Research Article, Adult, Paper, Friction, Adolescent, Surface Properties, Amorphous Solids, Science, Materials Science, Material Properties, Research and Analysis Methods, Texture (geology), Vibration, Fingers, 03 medical and health sciences, Young Adult, Animals, Humans, Texture, Spatial analysis, Touch Perception/physiology, 030304 developmental biology, Sandpaper, Mechanical Engineering, Biology and Life Sciences, Fingers/physiology, Cognitive Science, Glass, Particle size, Mathematical Functions, 030217 neurology & neurosurgery, Neuroscience
Abstract

Previous studies have demonstrated that skin vibration is an important factor affecting the roughness perception of fine textures. For coarse textures, the determining physical factor is much less clear and there are indications that this might be participant-dependent. In this paper, we focused on roughness perception of both coarse and fine textures of different materials (glass particle surfaces and sandpapers). We investigated the relationship between subjective roughness ratings and three physical parameters (skin vibration, friction coefficient, and particle size) within a group of 30 participants. Results of the glass particle surfaces showed both spatial information (particle size) and temporal information (skin vibration) had a high correlation with subjective roughness ratings. The former correlation was slightly but significantly higher than the latter. The results also indicated different weights of temporal information and spatial information for roughness ratings among participants. Roughness ratings of a different material (sandpaper versus glass particles) could be either larger, similar or smaller, indicating differences among individuals. The best way to describe our results is that in their perceptual evaluation of roughness, different individuals weight temporal information, spatial information, and other mechanical properties differently.

Published
2019